Finite-time cluster synchronisation of complex networks with multi-weights and nonlinear couplings via semi-intermittent control

Li Cao, Wanli Zhang and Hui Guo

International Journal of Systems Science, 2025, vol. 56, issue 11, 2624-2638

Abstract: The present research investigates the finite-time cluster synchronisation of complex networks with multi-weights and nonlinear couplings, employing an intermittent control method. Considering the impact of discontinuous function on system stability, an improved stability lemma is demonstrated. On this basis, a new semi-intermittent controller based on hyperbolic tangent function is devised to facilitate synchronisation within a finite time. Furthermore, through the utilisation of the Filippov solution and Lyapunov functions with 1-norm, sufficient conditions are derived to ensure that each cluster attains finite-time synchronisation. Ultimately, simulation example is employed to validate the result.

Date: 2025
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DOI: 10.1080/00207721.2025.2450095

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